confused by what you mean. 'Wizard' is a title some practitioners call themselves, like 'Witch' 'Pagan' 'Wiccan' 'Mage' and so on. everyone [or at least 99%] on this site does follow a pagan path so yes, you could consider everyone a 'Wizard' though most don't tend to call themselves that.
by your reaction i have a feeling you're a bit confused by what a 'Wizard' actually is. it's not something out of Harry Potter, so we don't fly on broomsticks, shoot lasers from wands and fight mythical creatures. flying no, a wand is used to direct energy though not in the spectacular way Hollywood believes, and while i don't see why one would pick a fight with a mythical creature, many are astral, not physical, beings.
why do you need all your friends to be free on the day you do your Wiccaning? [conversion] i didn't have my friends present, and most people do typically have a solitary one, then they might have a group ceremony welcoming them to the coven. are your friends practicing Witches as well? also, while waiting for the full moon is a good idea, not everyone chooses to do it then, you could have it on the new moon, my friend actually did hers when the moon was in the same phase as the day she was born.
why are you becoming a 'Wizard' if you don't mind my asking? you could start practicing now while you wait. you don't have to cast spells, you could work on meditation, chakra work, energy manipulation, or you could study. if you're joining Wicca Scott Cunningham and Raymond Buckland are the most common [and respected] authors you'll find. if you're not wanting the spiritual aspect, you could study herbs, or crystals. there's a lot of studying in becoming a Witch/Wizard.